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Find the product. Simplify your answer. $\newline$ $2s(2s^2 - 2s)$

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Multiply polynomials

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Q. Find the product. Simplify your answer.

\newline

2s(2s^2 - 2s)

Apply Distributive Property: Apply the distributive property to the expression $2s(2s^2 - 2s)$ . We need to distribute $2s$ to both $2s^2$ and $-2s$ . $2s(2s^2 - 2s) = 2s(2s^2) - 2s(2s)$
Simplify $2s(2s^2)$ : Simplify $2s(2s^2)$ . $\newline$ Multiply $2s$ and $2s^2$ . $\newline$ $2s(2s^2) = 4s^3$
Simplify $2s(2s)$ : Simplify $2s(2s)$ . $\newline$ Multiply $2s$ and $2s$ . $\newline$ $2s(2s) = 4s^2$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ We have: $\newline$ $2s(2s^2) = 4s^3$ $\newline$ $2s(2s) = 4s^2$ $\newline$ Now, subtract the second product from the first. $\newline$ $2s(2s^2 - 2s) = 4s^3 - 4s^2$
Write Final Expression: Write the final simplified expression. $\newline$ The simplified form of $2s(2s^2 - 2s)$ is $4s^3 - 4s^2$ .

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